Periodic Solutions of the Duffing Harmonic Oscillator by He's Energy Balance Method
Journal of Applied and Computational Mechanics, 2015 Duffing harmonic oscillator is a common model for nonlinear phenomena in science and engineering. This paper presents He´s Energy Balance Method (EBM) for solving nonlinear differential equations. Two strong nonlinear cases have been studied analytically.
A. M. El-Naggar, Gamal Ismail
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Multitone signal harmonic balance method
Electronics Letters, 1999 A novel approach for generating the frequency/time conversion matrices of multitone signals is presented. Conversion matrices are normally used in the harmonic balance method to evaluate currents/voltages of nonlinear devices. The conditioning number of these matrices is a fundamental aspect and the proposed approach always generated matrices with the ...
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Fast-individual-harmonic-extraction technique [PDF]
, 2005 One outcome of a PhD project (C H Ng, University studentship) A collaborative work (the Energy Systems Group, Northumbria and Durham University). It deals with the problem of harmonic suppression or elimination in power systems for safety and power ...
Busawon, Krishna +3 more
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On abolishing symmetry requirements in the formulation of a five-level selective harmonic elimination pulse-width modulation technique [PDF]
, 2006 Selective harmonic elimination pulse width modulation (SHE-PWM) techniques offer a tight control of the harmonic spectrum of a given voltage waveform generated by a power electronic converter along with a low number of switching transitions.
Rao, M.V. +2 more
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On the Method of Harmonic Balance for Lumped-Element Transformer Models
International Journal of Circuit Theory and ApplicationsIncorporating the magnetic core material in a lumped-element transformer model generally results in a nonlinear network with hysteresis. This network can be solved subsequently in time domain, yielding the transient response of the transformer. To directly obtain the steady-state solution, the method of harmonic balance is superior to such a transient ...
Alexander Sauseng +5 more
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Parameter Study of Ferro-Resonance with Harmonic Balance Method
, 2012 Ferro‐resonance is an electrical phenomenon which can cause damage to electrical equipments of power systems by its characteristic steady state over voltages and over currents.
Erbay, Ali
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Simulation of Payne Effect of Elastomeric Isolators with a Harmonic Balance Method
Shock and Vibration, 2012 In the presented work, a non linear effect of rubber referred as Fletcher-Gent effect or Payne effect is investigated. It leads to a change in the rubber dynamic modulus with vibration amplitudes and, consequently, modifies resonance frequencies of ...
V. Jaumouillé +2 more
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Harmonic balance-automatic differentiation method: A practical nonlinear dynamics solver
The Harmonic Balance-Alternating Frequency-Time domain method is widely used for analyzing nonlinear system dynamics, but its application to high-dimensional complex systems is often limited by the computational burden of deriving Jacobian matrices in ...
Chen, Yi +8 more
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Harmonic Balance Method and Stability of Discontinuous Systems
, 2020 The development of the theory of discontinuous dynamical systems and differential inclusions was not only due to research in the field of abstract mathematics but also a result of studies of particular problems in mechanics.
Kudryashova, E. V. +4 more
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Evaluation of the Harmonic Balance Method for Specific Tasks in the Design Process of Multistage Compressors [PDF]
LAUREA MAGISTRALENell'ambito della presente tesi di laurea magistrale, l'approccio in frequenza Harmonic Balance viene applicato allo studio di un compressore multi stadio di alta pressione.
ZUIN, GABRIELE
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